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Limit problem SQRT

  1. Sep 16, 2015 #1
    1. The problem statement, all variables and given/known data
    Determine if the limit exists as a number, ∞, -∞ or DNE
    lim x->4- -(2)/(sqrt(4-x))

    3. The attempt at a solution
    lim x->4-....

    I honestly don't know how to solve. Because I don't know what to do with the sqrt function. If someone could lead me in the right direction here that would be great.
    Thank you
    Last edited by a moderator: Sep 16, 2015
  2. jcsd
  3. Sep 16, 2015 #2


    Staff: Mentor

    This is actually pretty straightforward. The numerator doesn't change. What happens to the denominator as x gets closer to 4 from the left?
  4. Sep 16, 2015 #3
    Looks like it's getting smaller and smaller from this graph I am looking at for 1/sqrt(x)?
  5. Sep 17, 2015 #4


    Staff: Mentor

    Can you be more specific? x is approaching 4 from the left.
    What is the overall fraction doing?
  6. Sep 17, 2015 #5
    I solved it. It was lim as x approaches 4 from the negative side. so I put it must be something like -2/sqrt(4-3.9999) so inf digits and therefore, -inf
  7. Sep 20, 2015 #6


    User Avatar
    Homework Helper

    Yes and that is exactly how you want to think about it.
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